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Finding the Fourth Proportional to 199,828.80, 299,695.20 and 115,406.40

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Solution

The fourth proportional to 199,828.80, 299,695.20 and 115,406.40 is: 173,081.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,828.80 : 299,695.20 = 115,406.40 : x
  2. Step 2: Convert to fraction form
    199,828.80/299,695.20 = 115,406.40/x
  3. Step 3: Cross multiply
    199,828.80x = 299,695.20 × 115,406.40
  4. Step 4: Simplify right side
    199,828.80x = 34,586,744,129.28
  5. Step 5: Solve for x
    x = 34,586,744,129.28/199,828.80
  6. Step 6: Final answer
    x = 173,081.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.